# Extensions 1→N→G→Q→1 with N=C6×D5 and Q=C23

Direct product G=N×Q with N=C6×D5 and Q=C23
dρLabelID
D5×C23×C6240D5xC2^3xC6480,1210

Semidirect products G=N:Q with N=C6×D5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C6×D5)⋊1C23 = C2×S3×D20φ: C23/C2C22 ⊆ Out C6×D5120(C6xD5):1C2^3480,1088
(C6×D5)⋊2C23 = C2×C20⋊D6φ: C23/C2C22 ⊆ Out C6×D5120(C6xD5):2C2^3480,1089
(C6×D5)⋊3C23 = S3×D4×D5φ: C23/C2C22 ⊆ Out C6×D5608+(C6xD5):3C2^3480,1097
(C6×D5)⋊4C23 = C2×S3×C5⋊D4φ: C23/C2C22 ⊆ Out C6×D5120(C6xD5):4C2^3480,1123
(C6×D5)⋊5C23 = C2×D10⋊D6φ: C23/C2C22 ⊆ Out C6×D5120(C6xD5):5C2^3480,1124
(C6×D5)⋊6C23 = C22×C15⋊D4φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5):6C2^3480,1118
(C6×D5)⋊7C23 = C22×C3⋊D20φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5):7C2^3480,1119
(C6×D5)⋊8C23 = C2×D5×C3⋊D4φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5):8C2^3480,1122
(C6×D5)⋊9C23 = S3×C23×D5φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5):9C2^3480,1207
(C6×D5)⋊10C23 = C2×C6×D20φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5):10C2^3480,1137
(C6×D5)⋊11C23 = C6×D4×D5φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5):11C2^3480,1139
(C6×D5)⋊12C23 = C2×C6×C5⋊D4φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5):12C2^3480,1149

Non-split extensions G=N.Q with N=C6×D5 and Q=C23
extensionφ:Q→Out NdρLabelID
(C6×D5).1C23 = C2×D205S3φ: C23/C2C22 ⊆ Out C6×D5240(C6xD5).1C2^3480,1074
(C6×D5).2C23 = C2×D20⋊S3φ: C23/C2C22 ⊆ Out C6×D5240(C6xD5).2C2^3480,1075
(C6×D5).3C23 = D20.38D6φ: C23/C2C22 ⊆ Out C6×D52404(C6xD5).3C2^3480,1076
(C6×D5).4C23 = D20.39D6φ: C23/C2C22 ⊆ Out C6×D52404-(C6xD5).4C2^3480,1077
(C6×D5).5C23 = S3×C4○D20φ: C23/C2C22 ⊆ Out C6×D51204(C6xD5).5C2^3480,1091
(C6×D5).6C23 = D2024D6φ: C23/C2C22 ⊆ Out C6×D51204(C6xD5).6C2^3480,1092
(C6×D5).7C23 = D2025D6φ: C23/C2C22 ⊆ Out C6×D51204(C6xD5).7C2^3480,1093
(C6×D5).8C23 = D2026D6φ: C23/C2C22 ⊆ Out C6×D51204(C6xD5).8C2^3480,1094
(C6×D5).9C23 = D2029D6φ: C23/C2C22 ⊆ Out C6×D51204+(C6xD5).9C2^3480,1095
(C6×D5).10C23 = C15⋊2- 1+4φ: C23/C2C22 ⊆ Out C6×D52408-(C6xD5).10C2^3480,1096
(C6×D5).11C23 = S3×D42D5φ: C23/C2C22 ⊆ Out C6×D51208-(C6xD5).11C2^3480,1099
(C6×D5).12C23 = D30.C23φ: C23/C2C22 ⊆ Out C6×D51208+(C6xD5).12C2^3480,1100
(C6×D5).13C23 = D1214D10φ: C23/C2C22 ⊆ Out C6×D51208+(C6xD5).13C2^3480,1103
(C6×D5).14C23 = D20.29D6φ: C23/C2C22 ⊆ Out C6×D52408-(C6xD5).14C2^3480,1104
(C6×D5).15C23 = S3×Q82D5φ: C23/C2C22 ⊆ Out C6×D51208+(C6xD5).15C2^3480,1109
(C6×D5).16C23 = D2016D6φ: C23/C2C22 ⊆ Out C6×D51208-(C6xD5).16C2^3480,1110
(C6×D5).17C23 = D2017D6φ: C23/C2C22 ⊆ Out C6×D51208+(C6xD5).17C2^3480,1111
(C6×D5).18C23 = C2×Dic5.D6φ: C23/C2C22 ⊆ Out C6×D5240(C6xD5).18C2^3480,1113
(C6×D5).19C23 = C2×C30.C23φ: C23/C2C22 ⊆ Out C6×D5240(C6xD5).19C2^3480,1114
(C6×D5).20C23 = C15⋊2+ 1+4φ: C23/C2C22 ⊆ Out C6×D51204(C6xD5).20C2^3480,1125
(C6×D5).21C23 = F5×Dic6φ: C23/C2C22 ⊆ Out C6×D51208-(C6xD5).21C2^3480,982
(C6×D5).22C23 = C4⋊F53S3φ: C23/C2C22 ⊆ Out C6×D51208(C6xD5).22C2^3480,983
(C6×D5).23C23 = Dic65F5φ: C23/C2C22 ⊆ Out C6×D51208-(C6xD5).23C2^3480,984
(C6×D5).24C23 = (C4×S3)⋊F5φ: C23/C2C22 ⊆ Out C6×D51208(C6xD5).24C2^3480,985
(C6×D5).25C23 = C4×S3×F5φ: C23/C2C22 ⊆ Out C6×D5608(C6xD5).25C2^3480,994
(C6×D5).26C23 = F5×D12φ: C23/C2C22 ⊆ Out C6×D5608+(C6xD5).26C2^3480,995
(C6×D5).27C23 = S3×C4⋊F5φ: C23/C2C22 ⊆ Out C6×D5608(C6xD5).27C2^3480,996
(C6×D5).28C23 = D603C4φ: C23/C2C22 ⊆ Out C6×D5608+(C6xD5).28C2^3480,997
(C6×D5).29C23 = C2×Dic3×F5φ: C23/C2C22 ⊆ Out C6×D5120(C6xD5).29C2^3480,998
(C6×D5).30C23 = C22⋊F5.S3φ: C23/C2C22 ⊆ Out C6×D51208-(C6xD5).30C2^3480,999
(C6×D5).31C23 = C2×D6⋊F5φ: C23/C2C22 ⊆ Out C6×D5120(C6xD5).31C2^3480,1000
(C6×D5).32C23 = C2×Dic3⋊F5φ: C23/C2C22 ⊆ Out C6×D5120(C6xD5).32C2^3480,1001
(C6×D5).33C23 = F5×C3⋊D4φ: C23/C2C22 ⊆ Out C6×D5608(C6xD5).33C2^3480,1010
(C6×D5).34C23 = S3×C22⋊F5φ: C23/C2C22 ⊆ Out C6×D5608+(C6xD5).34C2^3480,1011
(C6×D5).35C23 = C3⋊D4⋊F5φ: C23/C2C22 ⊆ Out C6×D5608(C6xD5).35C2^3480,1012
(C6×D5).36C23 = C22×S3×F5φ: C23/C2C22 ⊆ Out C6×D560(C6xD5).36C2^3480,1197
(C6×D5).37C23 = C2×D5×Dic6φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).37C2^3480,1073
(C6×D5).38C23 = C2×D6.D10φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).38C2^3480,1083
(C6×D5).39C23 = C2×D125D5φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).39C2^3480,1084
(C6×D5).40C23 = C2×C12.28D10φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).40C2^3480,1085
(C6×D5).41C23 = S3×C2×C4×D5φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).41C2^3480,1086
(C6×D5).42C23 = C2×D5×D12φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).42C2^3480,1087
(C6×D5).43C23 = D5×C4○D12φ: C23/C22C2 ⊆ Out C6×D51204(C6xD5).43C2^3480,1090
(C6×D5).44C23 = D5×D42S3φ: C23/C22C2 ⊆ Out C6×D51208-(C6xD5).44C2^3480,1098
(C6×D5).45C23 = D2013D6φ: C23/C22C2 ⊆ Out C6×D51208-(C6xD5).45C2^3480,1101
(C6×D5).46C23 = D2014D6φ: C23/C22C2 ⊆ Out C6×D51208+(C6xD5).46C2^3480,1102
(C6×D5).47C23 = C30.33C24φ: C23/C22C2 ⊆ Out C6×D52408+(C6xD5).47C2^3480,1105
(C6×D5).48C23 = D12.29D10φ: C23/C22C2 ⊆ Out C6×D52408-(C6xD5).48C2^3480,1106
(C6×D5).49C23 = S3×Q8×D5φ: C23/C22C2 ⊆ Out C6×D51208-(C6xD5).49C2^3480,1107
(C6×D5).50C23 = D5×Q83S3φ: C23/C22C2 ⊆ Out C6×D51208+(C6xD5).50C2^3480,1108
(C6×D5).51C23 = C22×D5×Dic3φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).51C2^3480,1112
(C6×D5).52C23 = C6×C4○D20φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).52C2^3480,1138
(C6×D5).53C23 = C6×D42D5φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).53C2^3480,1140
(C6×D5).54C23 = C3×D46D10φ: C23/C22C2 ⊆ Out C6×D51204(C6xD5).54C2^3480,1141
(C6×D5).55C23 = C6×Q82D5φ: C23/C22C2 ⊆ Out C6×D5240(C6xD5).55C2^3480,1143
(C6×D5).56C23 = C3×Q8.10D10φ: C23/C22C2 ⊆ Out C6×D52404(C6xD5).56C2^3480,1144
(C6×D5).57C23 = C3×D5×C4○D4φ: C23/C22C2 ⊆ Out C6×D51204(C6xD5).57C2^3480,1145
(C6×D5).58C23 = C3×D48D10φ: C23/C22C2 ⊆ Out C6×D51204(C6xD5).58C2^3480,1146
(C6×D5).59C23 = C3×D4.10D10φ: C23/C22C2 ⊆ Out C6×D52404(C6xD5).59C2^3480,1147
(C6×D5).60C23 = C2×C4×C3⋊F5φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).60C2^3480,1063
(C6×D5).61C23 = C2×C60⋊C4φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).61C2^3480,1064
(C6×D5).62C23 = (C2×C12)⋊6F5φ: C23/C22C2 ⊆ Out C6×D51204(C6xD5).62C2^3480,1065
(C6×D5).63C23 = D4×C3⋊F5φ: C23/C22C2 ⊆ Out C6×D5608(C6xD5).63C2^3480,1067
(C6×D5).64C23 = Q8×C3⋊F5φ: C23/C22C2 ⊆ Out C6×D51208(C6xD5).64C2^3480,1069
(C6×D5).65C23 = C2×D10.D6φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).65C2^3480,1072
(C6×D5).66C23 = C23×C3⋊F5φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).66C2^3480,1206
(C6×D5).67C23 = F5×C2×C12φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).67C2^3480,1050
(C6×D5).68C23 = C6×C4⋊F5φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).68C2^3480,1051
(C6×D5).69C23 = C3×D10.C23φ: C23/C22C2 ⊆ Out C6×D51204(C6xD5).69C2^3480,1052
(C6×D5).70C23 = C3×D4×F5φ: C23/C22C2 ⊆ Out C6×D5608(C6xD5).70C2^3480,1054
(C6×D5).71C23 = C3×Q8×F5φ: C23/C22C2 ⊆ Out C6×D51208(C6xD5).71C2^3480,1056
(C6×D5).72C23 = C6×C22⋊F5φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).72C2^3480,1059
(C6×D5).73C23 = F5×C22×C6φ: C23/C22C2 ⊆ Out C6×D5120(C6xD5).73C2^3480,1205
(C6×D5).74C23 = D5×C22×C12φ: trivial image240(C6xD5).74C2^3480,1136
(C6×D5).75C23 = C6×Q8×D5φ: trivial image240(C6xD5).75C2^3480,1142

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